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Finding the Fourth Proportional to 9,154.31, 13,730.54 and 6,211.62

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Solution

The fourth proportional to 9,154.31, 13,730.54 and 6,211.62 is: 9,316.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.31 : 13,730.54 = 6,211.62 : x
  2. Step 2: Convert to fraction form
    9,154.31/13,730.54 = 6,211.62/x
  3. Step 3: Cross multiply
    9,154.31x = 13,730.54 × 6,211.62
  4. Step 4: Simplify right side
    9,154.31x = 85,288,865.82
  5. Step 5: Solve for x
    x = 85,288,865.82/9,154.31
  6. Step 6: Final answer
    x = 9,316.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.